In 1860, Gompertz modified a law named for this man by changing his equation to a ten parameter equation. That law named for him has recently been modified by Di Pino and Pirri and expresses the natural logarithm of a quotient of ages as a set of polynomials. In addition to formulating a one parameter survival function useful in actuarial science, a theorem named for him and Laplace allows us to approximate a sum of n binomial random variables as normal when n is sufficiently large. He also names a set of complex number ones that equal one when raised to a given degree. His most notable treatise influenced the namesake of Bayes's theorem and is The Doctrine of Chances. For 10 points, name this mathematician, whose namesake formula equates the nth power of cosine x 
In 1860, Gompertz modified a law named for this man by changing his equation to a ten parameter equation. That law named for him has recently been modified by Di Pino and Pirri and expresses the natural logarithm of a quotient of ages as a set of polynomials. In addition to formulating a one parameter survival function useful in actuarial science, a theorem named for him and Laplace allows us to approximate a sum of n binomial random variables as normal when n is sufficiently large. He also names a set of complex number ones that equal one when raised to a given degree. His most notable treatise influenced the namesake of Bayes's theorem and is The Doctrine of Chances. For 10 points, name this mathematician, whose namesake formula equates the nth power of cosine x and i times sin x with cosine of nx plus i times sin of nx.
In 1860, Gompertz modified a law named for this man by changing his equation to a ten parameter equation.
{Abraham} De {Moivre}